Practice Quiz

SAT Math

Category - Geometry and Measurement

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What is the volume of a cube inscribed in a sphere whose diameter is3√3?
  1. 1
  2. 8
  3. 27
  4. 64
  5. 125
Explanation
Answer: C -The volume of a cube is 27. The diameter of the sphere is equal to the diagonal of the cube. Use the formula for the diagonal of the cube D=a√3, to find the edge of the cube.
D=a√3⟺3√3=a√3⟺a=(3√3)/√3=3
V=a^3=3^3=27
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